Question

Solve for x in the following:
8x^2 + 6x = -5

Answer 1

No solution or

(-3±
`2i√(31)`)/8

Explanation:

To get the solution, move everything to the left side of the equation:

8x²+6x+5 = 0

If you try to factor the equation or graph it, you will see that it will never equal 0.

If you need an imaginary solution you can plug it into the quadratic equation:

-6±
`√(36-160)` over 16

Simplify and you get

-6±
`i√(124)` over 16

-6±
`4i√(31)` over 16

Simplify the fraction and you can get

(-3±
`2i√(31)`)/8